1,721,219 research outputs found
Global Properties of Constant Mean Curvature Surfaces in H^2xR
No full textWe discuss some aspects of the global behavior of surfaces in H^2xR with constant mean curvature H ( known as H-surfaces). We prove a maximum principle at infinity for complete properly embedded H-surfaces with H > 1/sqrt(2), and show that the genus of a compact stable H-surface with H > 1/sqrt(2) is at most three
Errata "Minimal Surfaces in H^2x R"; [Bull. Braz. Math. Soc., New Series 33 (2002), 263-292]
No full textIn H^2xR one has catenoids, helicoids and Scherk's type surfaces. A Jenkins-Serrin type theorem holds here. Moreover there exists complete minimal graphs in H^2xR with arbitrary continuous asymptotic values. Finally a minimal graph on a domain of H^2 cannot have an isolated singularity
Some Remarks on Positive Scalar and Gauss Kronecker Curvature Hypersurfaces of R^n and H^n
No full textWe consider graphs of positive scalar or Gauss-Kronecker curvature over a punctured disk in Euclidean and hyperbolic n-dimensional space and we obtain removable singularities theorems
Simply Connected Constant Mean Curvature Surfaces in H^2xR
No full textwe prove that for H>1/sqrt(3) tehre is no properly embedded H-surface in H^2xR with finite topology and one en
Some remarks on embedded hypersurfaces in hyperbolic space of constant curvature and spherical boundary
No full textWe consider embedded hypersurfaces M in hyperbolic space with compact boundary C and some r(th) mean curvature function H_r a positive constant. We investigate when symmetries of C are symmetries of M. We prove that if 0 less than or equal to H_r less than or equal to 1 and C is a sphere then M is a part of an equidistant sphere. For r = 1 (H_1 is the mean curvature) we obtain results when C is convex
Minimal Surfaces in H^2xR,
No full textIn H^2 x R one has catenoids, helicoids and Scherk-type surfaces. A Jenkins-Serrin type theorem holds here. Moreover there exist complete minimal graphs in H^2xR with arbitrary continuous asymptotic values. Finally, a graph on a domain of H^2 cannot have an isolated singularity
Stable Constant Mean Curvature Hypersurfaces
No full textLet N^{ n+1} be a Riemannian manifold with sectional curvatures uniformly bounded from below. When n = 3,4, we prove that there are no complete (strongly) stable H- hypersurfaces, without boundary, provided |H| is large enough. In particular we prove that there are no complete strongly stable H-hypersurfaces in R^{n+1} without boundary, H different from 0
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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